Polynomial

and we would have 2*6*10*(24-10), or 2*6*10*14/5! Which equals 1680/120 =14. The pattern is contained in the formula. When you carry out numerator you find that the next number in sequence is always an increase of 4. This seems to work for all polynomials. C. How would T(n) change if you ignored the vertices’ distinctness? That is, if you remove the labels, and say two triangulations are identical if one can be transformed into the other via a rotation or a reflection, how does this…

been as accurate as a digital one. One thing that could be changed for next time would be more testing of different masses of calcium chloride, because three trials wasn’t enough to be accurate. Another change for next time could be the use of a polynomial line of best fit to calculate the desired temperature, as a linear line isn’t well suited for this…

Data Analysis Biaxial Tensile Tests Different stress and strain definitions have been used to study the biomechanics of soft tissue [24]. The 2nd Piola-Kirchhoff stress and Green strain definitions have been employed in this study, which are described briefly in the following. The Green strain tensor is defined as E=1/2(F^T F-1), where F is the gradient deformation tensor. For the case of in-plane biaxial stretching in directions 1 and 2, the Green strain in these directions can be written…

Elbert Frank Cox was born on December 5th 1895 to parents Eugenia D Talbot and Johnson D Cox. His father was already a principal at a high school and took classes at Evansville College and graduated at Indiana University. Elbert was no stranger to success. He was fortunate to live in mixed ethnicity group even though the schools were still segregated. In high school he showed talents mathematics but that wasn’t his first love. He actually played the violin and was offered a full scholarship to…

My motivation to study machine perception is my long-term passion for mathematics, programming, and the human brain. Before knowing much about machine perception, my main motivation was to participate and securing the first prize in Bangladesh Mathematical Olympiad for three times. Following this achievement, I graduated in Electrical Engineering taking major classes on theoretical signal processing and accomplishing a bachelor thesis on the modeling of brain hemodynamics. This made me…

School has been a big topic this semester in my English Class. I have talked about General Education courses and my views on it. However, looking further into the topic, another question comes to mind. Are Standardized Tests worth the time of the student? Students have to take these tests each year for about 12 years. The tests have many different names and have been implemented for over 20 years. The state assesses these tests and labels these as ready for the real world, but what are they…

In the fall of 2017, I almost had to postpone college again because of an unpredictable, debilitating illness, one that I had been battling for several years. Having the option of distance learning saved me from postponing my classes once again. I could attend college, manage my health, and continue my medical treatments. Distance Learning, despite minor obstacles, offers many benefits, especially choosing one’s learning style, and it is a good option for many students. The virtual classroom…

Charles Babbage and Ada Lovelace were two brilliant mathematicians that affected the world of Computing greatly. Ada is considered to be the first ever programmer due to the fact that she wrote the first ever algorithm for a very early computing machine on paper. Babbage was the first man who built the first general purpose computer, and although he didn't manage to see his work complete and fully working, he managed to set the idea of what was imagined to be a revolutionary machine. Charles…

various kinds of objective function formulation are given below. 2.2.2.2 Generator Operating Cost The total cost of operation includes the fuel cost, cost of labour, supplies and maintenance. Mathematically it can be represented as a quadratic polynomial of generated power. Min F=∑_(i=1)^(N_g)▒(a_i+b_i P_(g_i )+c_i P_(g_i)^2 ) $/h (1)…

has been proven like a capable pattern classification path, also has lately been efficiently used in the remote sensing area. SVM utilizes a portion capacity delineate low-dimensional information highlights interested in a high measurement, for polynomial kernels, radial basis function kernels (RBF) and linear kernels. While SVM is used, choosing an appropriate core function and locate suitable core parameters is the primary issue. In SVM, the commonly used core function is RBF, at this point we…